493984 has 24 divisors (see below), whose sum is σ = 997920. Its totient is φ = 240576.

The previous prime is 493979. The next prime is 493993. The reversal of 493984 is 489394.

493984 = 6³ + 7³ + ... + 37³.

It is an unprimeable number.

493984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1197 + ... + 1555.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2⁴⁹³⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498960).

493984 is an abundant number, since it is smaller than the sum of its proper divisors (503936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

493984 is a wasteful number, since it uses less digits than its factorization.

493984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 493984 is about 702.8399533322. The cubic root of 493984 is about 79.0504404682.

The spelling of 493984 in words is "four hundred ninety-three thousand, nine hundred eighty-four".